Question

The square of a natural number when subtracted from its cube results in 48. The number is:

• A. 6
• B. 5
• C. 4
• D. 8

Answer 1

The correct option is C 4

Let the natural number be ‘x’.
$Given:x^3-x^2=48$
$\Rightarrow x^2$ $(x-1)=48$
Out of the given options, only 4 is the only number that satisfies the given condition.
$\because 4^2$ $(4-1)=48$
$\therefore$ The required number is 4.